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Published in:
1995 | OriginalPaper | Chapter
The Elementary Theory
Authors : V. P. Havin, N. K. Nikol’skij
Published in: Commutative Harmonic Analysis III
Publisher: Springer Berlin Heidelberg
Included in: Professional Book Archive
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The Space of Test Functions D = D(R1. The space D = D(R1 consists of the infinitely differentiable complex-valued functions of compact support on the line. The functions ϕ is said to have compact support if there exists a number Rsuch that $$ \varphi (x) = 0if|x| > R. $$ The set D is a vector space over the field C of complex numbers.